Pith Number

pith:ZKKPVTMR

pith:2012:ZKKPVTMRIJ2BJ2JBC7IYTTR2Y3

not attested not anchored not stored refs pending

A Lower Bound for Shallow Partitions

Daniel Werner, Wolfgang Mulzer

arxiv:1201.2267 v2 · 2012-01-11 · cs.CG · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKKPVTMRIJ2BJ2JBC7IYTTR2Y3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:03:18.919982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca94facd91427414e92117d189ce3ac6c2d63fa9b79a2bfe46a38d350b8df2a0

Aliases

arxiv: 1201.2267 · arxiv_version: 1201.2267v2 · doi: 10.48550/arxiv.1201.2267 · pith_short_12: ZKKPVTMRIJ2B · pith_short_16: ZKKPVTMRIJ2BJ2JB · pith_short_8: ZKKPVTMR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZKKPVTMRIJ2BJ2JBC7IYTTR2Y3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ca94facd91427414e92117d189ce3ac6c2d63fa9b79a2bfe46a38d350b8df2a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d2333c3001ecb904661e76cd6f041c98a0122b571865e72d276ef84a32c0c7d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-01-11T09:56:22Z",
    "title_canon_sha256": "e2098f09cf1e1fd7b2705b6f7e997e9fd5d7dfa0408fc02371b780850651991a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2267",
    "kind": "arxiv",
    "version": 2
  }
}